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Bagpipe theorem

In mathematics, the bagpipe theorem of Peter Nyikos describes the structure of the connected (but possibly non-paracompact) ω-bounded surfaces by showing that they are "bagpipes": the connected sum of a compact "bag" with several "long pipes".

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Statement

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Bagpipe theorem

Nodes12
Edges11
Triples3
Avg. degree1.83
Density0.166667
Components1

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Bagpipe theorem

Top relations

related to Statement · 3
Bagpipe theorem → Compactness, For, The

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Important terminology

long ω-bounded compact displaystyle bagpipe theorem pipes omega pipe times peter nyikos connected surfaces sum mathematics space called every example

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bagpipe theoremrelated to StatementCompactness0.60section
Bagpipe theoremrelated to StatementFor0.60section
Bagpipe theoremrelated to StatementThe0.60section

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